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Finding the Fourth Proportional to 45,977.31, 68,957.73 and 12,689.10

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Solution

The fourth proportional to 45,977.31, 68,957.73 and 12,689.10 is: 19,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,977.31 : 68,957.73 = 12,689.10 : x
  2. Step 2: Convert to fraction form
    45,977.31/68,957.73 = 12,689.10/x
  3. Step 3: Cross multiply
    45,977.31x = 68,957.73 × 12,689.10
  4. Step 4: Simplify right side
    45,977.31x = 875,011,531.74
  5. Step 5: Solve for x
    x = 875,011,531.74/45,977.31
  6. Step 6: Final answer
    x = 19,031.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.